An irreducible factor of 24x²y² is
(a) x²
(b) y²
(c) x
(d) 24x

Solution:

Correct option is (c ).

An irreducible factor is a factor which cannot be expressed further as a product of factors, such factorisation is called an irreducible factorisation or complete factorisation.

Given, 24x²y² = 2 × 2 × 2 × 3 × x × x × y × y

Here, the irreducible factor is x.

✦ Try This: An irreducible factor of 36p²q² (a) p², (b) q², (c) q, (d) 36p

Correct option is (c ).

An irreducible factor is a factor which cannot be expressed further as a product of factors, such factorisation is called an irreducible factorisation or complete factorisation.

Given, 36p²q² = 2 × 2 × 3 × 3 × p × p × q ×q

Here, the irreducible factor is q.

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 9

NCERT Exemplar Class 8 Maths Chapter 7 Problem 25

An irreducible factor of 24x²y² is (a) x², (b) y², (c) x, (d) 24x

Summary:

An irreducible factor of 24x²y² is x

☛ Related Questions:

• Number of factors of (a + b)² is (a) 4 (b) 3 (c) 2 (d) 1
• The factorised form of 3x - 24 is (a) 3x × 24 (b) 3 (x - 8) (c) 24 (x - 3) (d) 3(x -12)
• The factors of x² - 4 are (a) (x – 2), (x – 2) (b) (x + 2), (x – 2) (c) (x + 2), (x + 2) (d) (x – 4) . . . .